106621320 has 128 divisors (see below), whose sum is σ = 353082240. Its totient is φ = 25589760.

The previous prime is 106621303. The next prime is 106621337. The reversal of 106621320 is 23126601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106621303) and next prime (106621337).

It is a super-2 number, since 2×106621320² = 22736211757084800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63127 + ... + 64793.

It is an arithmetic number, because the mean of its divisors is an integer number (2758455).

Almost surely, 2^106621320 is an apocalyptic number.

106621320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176541120).

106621320 is an abundant number, since it is smaller than the sum of its proper divisors (246460920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106621320 is a wasteful number, since it uses less digits than its factorization.

106621320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106621320 is about 10325.7600204537. The cubic root of 106621320 is about 474.1852255499.

Adding to 106621320 its reverse (23126601), we get a palindrome (129747921).

The spelling of 106621320 in words is "one hundred six million, six hundred twenty-one thousand, three hundred twenty".